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48. Find the area of this parallelogram (A = bh). 12 cm 5 cm 16 cm A. 65 cm² B. 60 cm² C. 48 cm² D. 36 cm² ASTO QACS.I OTSer 2318 cesa or 8100 g a 3188.00

48. Find the area of this parallelogram (A = bh). 12 cm 5 cm 16 cm A. 65 cm² B. 60 cm² C. 48 cm² D. 36 cm² ASTO QACS.I OTSer 2318 cesa or 8100 g a 3188.00

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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### Educational Math Problems and Solutions #### Problem 48 ##### Finding the Area of a Parallelogram **Question:** Find the area of this parallelogram (\(A = bh\)). **Diagram:** - A parallelogram with a base (\(b\)) of 12 cm and a height (\(h\)) of 5 cm. **Options:** A. 65 cm² B. 60 cm² C. 48 cm² D. 36 cm² **Detailed Explanation:** To find the area (\(A\)) of a parallelogram, you use the formula: \[ A = b \times h \] Given that \( b = 12 \text{ cm} \) and \( h = 5 \text{ cm} \), \[ A = 12 \text{ cm} \times 5 \text{ cm} = 60 \text{ cm}² \] The correct answer is **B. 60 cm²**. #### Problem 49 ##### Calculating the Volume of a Prism **Question:** What is the volume of a prism with length 9 cm, width 5 cm, and height 4 cm? **Options:** A. 202 cm³ B. 180 cm³ C. 99 cm³ D. 81 cm³ **Detailed Explanation:** To calculate the volume (\(V\)) of a rectangular prism, you use the formula: \[ V = l \times w \times h \] Given that \( l = 9 \text{ cm} \), \( w = 5 \text{ cm} \), and \( h = 4 \text{ cm} \), \[ V = 9 \text{ cm} \times 5 \text{ cm} \times 4 \text{ cm} = 180 \text{ cm}³ \] The correct answer is **B. 180 cm³**. #### Problem 50 ##### Finding the Area of a Regular Polygon **Question:** The area formula for a regular polygon is \( \frac{1}{2}ap \). Find the area of a regular hexagon with side length of 16 cm and apothem length of 13.9 cm. **Options:** A. 222.4 cm² B. 556 cm² C.
Transcribed Image Text:### Educational Math Problems and Solutions #### Problem 48 ##### Finding the Area of a Parallelogram **Question:** Find the area of this parallelogram (\(A = bh\)). **Diagram:** - A parallelogram with a base (\(b\)) of 12 cm and a height (\(h\)) of 5 cm. **Options:** A. 65 cm² B. 60 cm² C. 48 cm² D. 36 cm² **Detailed Explanation:** To find the area (\(A\)) of a parallelogram, you use the formula: \[ A = b \times h \] Given that \( b = 12 \text{ cm} \) and \( h = 5 \text{ cm} \), \[ A = 12 \text{ cm} \times 5 \text{ cm} = 60 \text{ cm}² \] The correct answer is **B. 60 cm²**. #### Problem 49 ##### Calculating the Volume of a Prism **Question:** What is the volume of a prism with length 9 cm, width 5 cm, and height 4 cm? **Options:** A. 202 cm³ B. 180 cm³ C. 99 cm³ D. 81 cm³ **Detailed Explanation:** To calculate the volume (\(V\)) of a rectangular prism, you use the formula: \[ V = l \times w \times h \] Given that \( l = 9 \text{ cm} \), \( w = 5 \text{ cm} \), and \( h = 4 \text{ cm} \), \[ V = 9 \text{ cm} \times 5 \text{ cm} \times 4 \text{ cm} = 180 \text{ cm}³ \] The correct answer is **B. 180 cm³**. #### Problem 50 ##### Finding the Area of a Regular Polygon **Question:** The area formula for a regular polygon is \( \frac{1}{2}ap \). Find the area of a regular hexagon with side length of 16 cm and apothem length of 13.9 cm. **Options:** A. 222.4 cm² B. 556 cm² C.
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